Very special divisors on real algebraic curves

Jean-Philippe Monnier (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We study special linear systems called "very special" whose dimension does not satisfy a Clifford type inequality given by Huisman. We classify all these very special linear systems when they are compounded of an involution. Examples of very special linear systems that are simple are also given.

Mots clés: special divisor; real algebraic curve; Clifford inequality

Domaines: Géométrie algébrique [math.AG]

Jean-Philippe Monnier. Very special divisors on real algebraic curves. 2009. ⟨hal-00389352⟩